61956 has 18 divisors (see below), whose sum is σ = 156702. Its totient is φ = 20640.

The previous prime is 61949. The next prime is 61961. The reversal of 61956 is 65916.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 4356 = 240^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a plaindrome in base 13 and base 15.

It is an unprimeable number.

61956 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, 825 + ... + 896.

2⁶¹⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

61956 is an abundant number, since it is smaller than the sum of its proper divisors (94746).

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

61956 is a wasteful number, since it uses less digits than its factorization.

61956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1726 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 61956 is about 248.9096221523. The cubic root of 61956 is about 39.5695511267.

The spelling of 61956 in words is "sixty-one thousand, nine hundred fifty-six".