48661167 has 16 divisors (see below), whose sum is σ = 65796192. Its totient is φ = 31987200.

The previous prime is 48661153. The next prime is 48661181. The reversal of 48661167 is 76116684.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48661153) and next prime (48661181).

It is a de Polignac number, because none of the positive numbers 2^k-48661167 is a prime.

It is a super-3 number, since 3×48661167³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48661127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80667 + ... + 81267.

It is an arithmetic number, because the mean of its divisors is an integer number (4112262).

Almost surely, 2^48661167 is an apocalyptic number.

48661167 is a deficient number, since it is larger than the sum of its proper divisors (17135025).

48661167 is a wasteful number, since it uses less digits than its factorization.

48661167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938.

The product of its digits is 48384, while the sum is 39.

The square root of 48661167 is about 6975.7556579915. The cubic root of 48661167 is about 365.0851543360.

It can be divided in two parts, 48661 and 167, that added together give a triangular number (48828 = T₃₁₂).

The spelling of 48661167 in words is "forty-eight million, six hundred sixty-one thousand, one hundred sixty-seven".