45962 has 16 divisors (see below), whose sum is σ = 81600. Its totient is φ = 19404.

The previous prime is 45959. The next prime is 45971. The reversal of 45962 is 26954.

45962 is nontrivially palindromic in base 12.

45962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45962^{2} = 4225010888, which contains 22 as substring.

It is an Ulam number.

Its product of digits (2160) is a multiple of the sum of its prime factors (90).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (5100).

2^{45962} is an apocalyptic number.

45962 is a deficient number, since it is larger than the sum of its proper divisors (35638).

45962 is an equidigital number, since it uses as much as digits as its factorization.

45962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 45962 is about 214.3874996356. The cubic root of 45962 is about 35.8206096284.

The spelling of 45962 in words is "forty-five thousand, nine hundred sixty-two".

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