61924 has 12 divisors (see below), whose sum is σ = 110124. Its totient is φ = 30464.

The previous prime is 61909. The next prime is 61927. The reversal of 61924 is 42916.

It can be written as a sum of positive squares in 2 ways, for example, as 14400 + 47524 = 120^2 + 218^2 .

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 61895 and 61904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 384 + ... + 520.

It is an arithmetic number, because the mean of its divisors is an integer number (9177).

2⁶¹⁹²⁴ is an apocalyptic number.

It is an amenable number.

61924 is a deficient number, since it is larger than the sum of its proper divisors (48200).

61924 is a wasteful number, since it uses less digits than its factorization.

61924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 252 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 61924 is about 248.8453334905. The cubic root of 61924 is about 39.5627374541.

The spelling of 61924 in words is "sixty-one thousand, nine hundred twenty-four".