82817955 has 24 divisors (see below), whose sum is σ = 156602160. Its totient is φ = 40153920.

The previous prime is 82817947. The next prime is 82818011. The reversal of 82817955 is 55971828.

82817955 = 1200² + 1201² + ... + 1254².

It is a happy number.

It is not a de Polignac number, because 82817955 - 2³ = 82817947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 82817955.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83160 + ... + 84149.

It is an arithmetic number, because the mean of its divisors is an integer number (6525090).

Almost surely, 2^82817955 is an apocalyptic number.

82817955 is a deficient number, since it is larger than the sum of its proper divisors (73784205).

82817955 is a wasteful number, since it uses less digits than its factorization.

82817955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167331 (or 167328 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 82817955 is about 9100.4370774156. The cubic root of 82817955 is about 435.8879207885.

The spelling of 82817955 in words is "eighty-two million, eight hundred seventeen thousand, nine hundred fifty-five".