83585967 has 8 divisors (see below), whose sum is σ = 112597296. Its totient is φ = 55149312.

The previous prime is 83585893. The next prime is 83585977. The reversal of 83585967 is 76958538.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 83585967 - 2¹² = 83581871 is a prime.

It is a super-2 number, since 2×83585967² = 13973227758650178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83585977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143328 + ... + 143909.

It is an arithmetic number, because the mean of its divisors is an integer number (14074662).

Almost surely, 2^83585967 is an apocalyptic number.

83585967 is a deficient number, since it is larger than the sum of its proper divisors (29011329).

83585967 is a wasteful number, since it uses less digits than its factorization.

83585967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287337.

The product of its digits is 1814400, while the sum is 51.

The square root of 83585967 is about 9142.5361361058. The cubic root of 83585967 is about 437.2311787482.

The spelling of 83585967 in words is "eighty-three million, five hundred eighty-five thousand, nine hundred sixty-seven".