661072167 has 48 divisors (see below), whose sum is σ = 1115412480. Its totient is φ = 369475776.

The previous prime is 661072157. The next prime is 661072177. The reversal of 661072167 is 761270166.

It is an interprime number because it is at equal distance from previous prime (661072157) and next prime (661072177).

It is not a de Polignac number, because 661072167 - 2⁶ = 661072103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661072147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088778 + ... + 1089384.

It is an arithmetic number, because the mean of its divisors is an integer number (23237760).

Almost surely, 2^661072167 is an apocalyptic number.

661072167 is a deficient number, since it is larger than the sum of its proper divisors (454340313).

661072167 is a wasteful number, since it uses less digits than its factorization.

661072167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 661072167 is about 25711.3237115478. The cubic root of 661072167 is about 871.1299744567.

The spelling of 661072167 in words is "six hundred sixty-one million, seventy-two thousand, one hundred sixty-seven".