45956 has 6 divisors (see below), whose sum is σ = 80430. Its totient is φ = 22976.

The previous prime is 45953. The next prime is 45959. The reversal of 45956 is 65954.

It is an interprime number because it is at equal distance from previous prime (45953) and next prime (45959).

It can be written as a sum of positive squares in only one way, i.e., 33856 + 12100 = 184^2 + 110^2 .

It is a super-2 number, since 2×45956² = 4223907872, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45956.

It is not an unprimeable number, because it can be changed into a prime (45953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5741 + ... + 5748.

It is an arithmetic number, because the mean of its divisors is an integer number (13405).

2⁴⁵⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

45956 is a deficient number, since it is larger than the sum of its proper divisors (34474).

45956 is a wasteful number, since it uses less digits than its factorization.

45956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11493 (or 11491 counting only the distinct ones).

The product of its digits is 5400, while the sum is 29.

The square root of 45956 is about 214.3735058257. The cubic root of 45956 is about 35.8190508551.

It can be divided in two parts, 459 and 56, that added together give a palindrome (515).

The spelling of 45956 in words is "forty-five thousand, nine hundred fifty-six".