61900 has 18 divisors (see below), whose sum is σ = 134540. Its totient is φ = 24720.

The previous prime is 61879. The next prime is 61909. The reversal of 61900 is 916.

It is a super-2 number, since 2×61900² = 7663220000, which contains 22 as substring.

It is a plaindrome in base 13.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (61909) by changing a digit.

61900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210 + ... + 409.

2⁶¹⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

61900 is an abundant number, since it is smaller than the sum of its proper divisors (72640).

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

61900 is a wasteful number, since it uses less digits than its factorization.

61900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 61900 is about 248.7971060925. The cubic root of 61900 is about 39.5576256591.

Adding to 61900 its sum of digits (16), we get a palindrome (61916).

It can be divided in two parts, 61 and 900, that added together give a square (961 = 31²).

The spelling of 61900 in words is "sixty-one thousand, nine hundred".