80937 has 18 divisors (see below), whose sum is σ = 129402. Its totient is φ = 48576.

The previous prime is 80933. The next prime is 80953. The reversal of 80937 is 73908.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 4761 = 276^2 + 69^2 .

It is not a de Polignac number, because 80937 - 2² = 80933 is a prime.

80937 is a lucky number.

It is a plaindrome in base 11 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 80937.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80937.

It is not an unprimeable number, because it can be changed into a prime (80933) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3508 + ... + 3530.

It is an arithmetic number, because the mean of its divisors is an integer number (7189).

2⁸⁰⁹³⁷ is an apocalyptic number.

It is an amenable number.

80937 is a deficient number, since it is larger than the sum of its proper divisors (48465).

80937 is a wasteful number, since it uses less digits than its factorization.

80937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 80937 is about 284.4942881676. The cubic root of 80937 is about 43.2562667031.

It can be divided in two parts, 8093 and 7, that added together give a square (8100 = 90²).

The spelling of 80937 in words is "eighty thousand, nine hundred thirty-seven".