967257985 has 36 divisors (see below), whose sum is σ = 1281856212. Its totient is φ = 700514496.

The previous prime is 967257931. The next prime is 967258009. The reversal of 967257985 is 589752769.

It can be written as a sum of positive squares in 2 ways, for example, as 109998144 + 857259841 = 10488^2 + 29279^2 .

It is not a de Polignac number, because 967257985 - 2¹³ = 967249793 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 954339 + ... + 955351.

It is an arithmetic number, because the mean of its divisors is an integer number (35607117).

Almost surely, 2^967257985 is an apocalyptic number.

967257985 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

967257985 is a deficient number, since it is larger than the sum of its proper divisors (314598227).

967257985 is a wasteful number, since it uses less digits than its factorization.

967257985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1060 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 58.

The square root of 967257985 is about 31100.7714534543. The cubic root of 967257985 is about 988.9646643225.

The spelling of 967257985 in words is "nine hundred sixty-seven million, two hundred fifty-seven thousand, nine hundred eighty-five".