75631 has 4 divisors (see below), whose sum is σ = 77112. Its totient is φ = 74152.

The previous prime is 75629. The next prime is 75641. The reversal of 75631 is 13657.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 13657 = 7 ⋅1951.

It is a cyclic number.

It is not a de Polignac number, because 75631 - 2¹ = 75629 is a prime.

It is a super-2 number, since 2×75631² = 11440096322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

75631 is a lucky number.

It is a plaindrome in base 8.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 661 + ... + 766.

It is an arithmetic number, because the mean of its divisors is an integer number (19278).

2⁷⁵⁶³¹ is an apocalyptic number.

75631 is a deficient number, since it is larger than the sum of its proper divisors (1481).

75631 is a wasteful number, since it uses less digits than its factorization.

75631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480.

The product of its digits is 630, while the sum is 22.

The square root of 75631 is about 275.0109088745. The cubic root of 75631 is about 42.2895711333.

It can be divided in two parts, 756 and 31, that multiplied together give a triangular number (23436 = T₂₁₆).

The spelling of 75631 in words is "seventy-five thousand, six hundred thirty-one".