38961567 has 20 divisors (see below), whose sum is σ = 58643376. Its totient is φ = 25777440.

The previous prime is 38961551. The next prime is 38961583. The reversal of 38961567 is 76516983.

It is a happy number.

38961567 is a `hidden beast` number, since 3 + 89 + 6 + 1 + 567 = 666.

It is an interprime number because it is at equal distance from previous prime (38961551) and next prime (38961583).

It is not a de Polignac number, because 38961567 - 2⁴ = 38961551 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38961547) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9342 + ... + 12852.

Almost surely, 2^38961567 is an apocalyptic number.

38961567 is a deficient number, since it is larger than the sum of its proper divisors (19681809).

38961567 is a wasteful number, since it uses less digits than its factorization.

38961567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3651 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 38961567 is about 6241.9201372655. The cubic root of 38961567 is about 339.0097107407.

The spelling of 38961567 in words is "thirty-eight million, nine hundred sixty-one thousand, five hundred sixty-seven".