976005 has 36 divisors (see below), whose sum is σ = 1811628. Its totient is φ = 485760.

The previous prime is 975991. The next prime is 976009. The reversal of 976005 is 500679.

976005 = 66² + 67² + ... + 147².

976005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 171396 + 804609 = 414^2 + 897^2 .

It is not a de Polignac number, because 976005 - 2⁶ = 975941 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 976005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23785 + ... + 23825.

It is an arithmetic number, because the mean of its divisors is an integer number (50323).

2⁹⁷⁶⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

976005 is a deficient number, since it is larger than the sum of its proper divisors (835623).

976005 is a wasteful number, since it uses less digits than its factorization.

976005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 976005 is about 987.9296533661. The cubic root of 976005 is about 99.1936826644.

The spelling of 976005 in words is "nine hundred seventy-six thousand, five".