472633167 has 32 divisors (see below), whose sum is σ = 688545792. Its totient is φ = 287207424.

The previous prime is 472633157. The next prime is 472633181. The reversal of 472633167 is 761336274.

It is not a de Polignac number, because 472633167 - 2⁶ = 472633103 is a prime.

It is a super-3 number, since 3×472633167³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472633157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277663 + ... + 279359.

It is an arithmetic number, because the mean of its divisors is an integer number (21517056).

Almost surely, 2^472633167 is an apocalyptic number.

472633167 is a deficient number, since it is larger than the sum of its proper divisors (215912625).

472633167 is a wasteful number, since it uses less digits than its factorization.

472633167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887.

The product of its digits is 127008, while the sum is 39.

The square root of 472633167 is about 21740.1280355015. The cubic root of 472633167 is about 778.9472797128.

The spelling of 472633167 in words is "four hundred seventy-two million, six hundred thirty-three thousand, one hundred sixty-seven".