967023409 has 15 divisors (see below), whose sum is σ = 1067874235. Its totient is φ = 875691520.

The previous prime is 967023403. The next prime is 967023419. The reversal of 967023409 is 904320769.

The square root of 967023409 is 31097.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 952031025 + 14992384 = 30855^2 + 3872^2 .

It is not a de Polignac number, because 967023409 - 2¹⁵ = 966990641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (967023403) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3762609 + ... + 3762865.

Almost surely, 2^967023409 is an apocalyptic number.

967023409 is the 31097-th square number.

967023409 is the 15549-th centered octagonal number.

It is an amenable number.

967023409 is a deficient number, since it is larger than the sum of its proper divisors (100850826).

967023409 is an frugal number, since it uses more digits than its factorization.

967023409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The cubic root of 967023409 is about 988.8847111164.

The spelling of 967023409 in words is "nine hundred sixty-seven million, twenty-three thousand, four hundred nine".