45631 has 2 divisors, whose sum is σ = 45632. Its totient is φ = 45630.

The previous prime is 45613. The next prime is 45641. The reversal of 45631 is 13654.

45631 is nontrivially palindromic in base 11.

Together with previous prime (45613) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 45631 - 2⁵ = 45599 is a prime.

It is a super-2 number, since 2×45631² = 4164376322, which contains 22 as substring.

45631 is an undulating number in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 45599 and 45608.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22815 + 22816.

It is an arithmetic number, because the mean of its divisors is an integer number (22816).

2⁴⁵⁶³¹ is an apocalyptic number.

45631 is a deficient number, since it is larger than the sum of its proper divisors (1).

45631 is an equidigital number, since it uses as much as digits as its factorization.

45631 is an evil number, because the sum of its binary digits is even.

The product of its digits is 360, while the sum is 19.

The square root of 45631 is about 213.6141381089. The cubic root of 45631 is about 35.7344137968.

It can be divided in two parts, 45 and 631, that added together give a palindrome (676).

The spelling of 45631 in words is "forty-five thousand, six hundred thirty-one".