161700 has 108 divisors (see below), whose sum is σ = 593712. Its totient is φ = 33600.

The previous prime is 161683. The next prime is 161717. The reversal of 161700 is 7161.

161700 = T₁ + T₂ + ... + T₉₈.

161700 is a nontrivial binomial coefficient, being equal to C(100, 3).

It is an interprime number because it is at equal distance from previous prime (161683) and next prime (161717).

It is a super-2 number, since 2×161700² = 52293780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 161700.

It is an unprimeable number.

161700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 98-th tetrahedral number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14695 + ... + 14705.

2¹⁶¹⁷⁰⁰ is an apocalyptic number.

161700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296856).

161700 is an abundant number, since it is smaller than the sum of its proper divisors (432012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161700 is a wasteful number, since it uses less digits than its factorization.

161700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 161700 is about 402.1193852577. The cubic root of 161700 is about 54.4799466104.

Adding to 161700 its reverse (7161), we get a palindrome (168861).

It can be divided in two parts, 161 and 700, that added together give a triangular number (861 = T₄₁).

The spelling of 161700 in words is "one hundred sixty-one thousand, seven hundred".