61734 has 8 divisors (see below), whose sum is σ = 123480. Its totient is φ = 20576.

The previous prime is 61729. The next prime is 61751. The reversal of 61734 is 43716.

61734 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

61734 is an admirable number.

It is a super-2 number, since 2×61734² = 7622173512, which contains 22 as substring.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 61734.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61734.

It is an unprimeable number.

61734 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 3 ways as a sum of consecutive naturals, for example, 5139 + ... + 5150.

It is an arithmetic number, because the mean of its divisors is an integer number (15435).

2⁶¹⁷³⁴ is an apocalyptic number.

61734 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61740).

61734 is a wasteful number, since it uses less digits than its factorization.

61734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10294.

The product of its digits is 504, while the sum is 21.

The square root of 61734 is about 248.4632769646. The cubic root of 61734 is about 39.5222328504.

It can be divided in two parts, 6 and 1734, that multiplied together give a square (10404 = 102²).

The spelling of 61734 in words is "sixty-one thousand, seven hundred thirty-four".