45976 has 16 divisors (see below), whose sum is σ = 98640. Its totient is φ = 19680.

The previous prime is 45971. The next prime is 45979. The reversal of 45976 is 67954.

45976 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 2×45976² = 4227585152, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45971) by changing a digit.

45976 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 3 ways as a sum of consecutive naturals, for example, 355 + ... + 466.

It is an arithmetic number, because the mean of its divisors is an integer number (6165).

2⁴⁵⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

45976 is an abundant number, since it is smaller than the sum of its proper divisors (52664).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49320).

45976 is a wasteful number, since it uses less digits than its factorization.

45976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 830 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 45976 is about 214.4201483070. The cubic root of 45976 is about 35.8242462385.

Subtracting from 45976 its product of digits (7560), we obtain a 4-th power (38416 = 14⁴).

It can be divided in two parts, 459 and 76, that added together give a palindrome (535).

The spelling of 45976 in words is "forty-five thousand, nine hundred seventy-six".