45951 has 12 divisors (see below), whose sum is σ = 66312. Its totient is φ = 28288.

The previous prime is 45949. The next prime is 45953. The reversal of 45951 is 15954.

It is an interprime number because it is at equal distance from previous prime (45949) and next prime (45953).

It is not a de Polignac number, because 45951 - 2¹ = 45949 is a prime.

It is a super-2 number, since 2×45951² = 4222988802, which contains 22 as substring.

45951 is a Rhonda number in base 10.

Its product of digits (900) is a multiple of the sum of its prime factors (90).

45951 is a lucky number.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 841 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (5526).

2⁴⁵⁹⁵¹ is an apocalyptic number.

45951 is a deficient number, since it is larger than the sum of its proper divisors (20361).

45951 is a wasteful number, since it uses less digits than its factorization.

45951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 73 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 45951 is about 214.3618436196. The cubic root of 45951 is about 35.8177517738.

It can be divided in two parts, 459 and 51, that multiplied together give a square (23409 = 153²).

The spelling of 45951 in words is "forty-five thousand, nine hundred fifty-one".