80955 has 24 divisors (see below), whose sum is σ = 160992. Its totient is φ = 36864.

The previous prime is 80953. The next prime is 80963. The reversal of 80955 is 55908.

It is not a de Polignac number, because 80955 - 2¹ = 80953 is a prime.

80955 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80955.

It is not an unprimeable number, because it can be changed into a prime (80953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (6708).

2⁸⁰⁹⁵⁵ is an apocalyptic number.

80955 is a deficient number, since it is larger than the sum of its proper divisors (80037).

80955 is a wasteful number, since it uses less digits than its factorization.

80955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 80955 is about 284.5259214905. The cubic root of 80955 is about 43.2594731274.

It can be divided in two parts, 8095 and 5, that added together give a square (8100 = 90²).

The spelling of 80955 in words is "eighty thousand, nine hundred fifty-five".