975663 has 24 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 578880.

The previous prime is 975661. The next prime is 975671. The reversal of 975663 is 366579.

It is a happy number.

975663 is a `hidden beast` number, since 97 + 566 + 3 = 666.

It is not a de Polignac number, because 975663 - 2¹ = 975661 is a prime.

975663 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3493 + ... + 3761.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

2⁹⁷⁵⁶⁶³ is an apocalyptic number.

975663 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

975663 is a deficient number, since it is larger than the sum of its proper divisors (596817).

975663 is a wasteful number, since it uses less digits than its factorization.

975663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 316 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 975663 is about 987.7565489532. The cubic root of 975663 is about 99.1820952228.

The spelling of 975663 in words is "nine hundred seventy-five thousand, six hundred sixty-three".