73131 has 8 divisors (see below), whose sum is σ = 102720. Its totient is φ = 46152.

The previous prime is 73127. The next prime is 73133. The reversal of 73131 is 13137.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 73131 - 2² = 73127 is a prime.

It is a super-2 number, since 2×73131² = 10696286322, which contains 22 as substring.

73131 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 73131.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73131.

It is not an unprimeable number, because it can be changed into a prime (73133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585 + ... + 698.

It is an arithmetic number, because the mean of its divisors is an integer number (12840).

2⁷³¹³¹ is an apocalyptic number.

73131 is a deficient number, since it is larger than the sum of its proper divisors (29589).

73131 is a wasteful number, since it uses less digits than its factorization.

73131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305.

The product of its digits is 63, while the sum is 15.

The square root of 73131 is about 270.4274394362. The cubic root of 73131 is about 41.8183767248.

Adding to 73131 its reverse (13137), we get a palindrome (86268).

The spelling of 73131 in words is "seventy-three thousand, one hundred thirty-one".