61952 has 30 divisors (see below), whose sum is σ = 136059. Its totient is φ = 28160.

The previous prime is 61949. The next prime is 61961. The reversal of 61952 is 25916.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 30976 = 176^2 + 176^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=176.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a zygodrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5627 + ... + 5637.

2⁶¹⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61952

61952 is an abundant number, since it is smaller than the sum of its proper divisors (74107).

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

61952 is an equidigital number, since it uses as much as digits as its factorization.

61952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 13 counting only the distinct ones).

The product of its digits is 540, while the sum is 23.

The square root of 61952 is about 248.9015869777. The cubic root of 61952 is about 39.5686995460.

The spelling of 61952 in words is "sixty-one thousand, nine hundred fifty-two".