46788165 has 128 divisors (see below), whose sum is σ = 98496000. Its totient is φ = 20901888.

The previous prime is 46788163. The next prime is 46788169. The reversal of 46788165 is 56188764.

46788165 = 208² + 209² + ... + 530².

It is a happy number.

It is not a de Polignac number, because 46788165 - 2¹ = 46788163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 46788165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46788163) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1264527 + ... + 1264563.

It is an arithmetic number, because the mean of its divisors is an integer number (769500).

Almost surely, 2^46788165 is an apocalyptic number.

46788165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46788165 is an abundant number, since it is smaller than the sum of its proper divisors (51707835).

46788165 is a wasteful number, since it uses less digits than its factorization.

46788165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 46788165 is about 6840.1874974302. The cubic root of 46788165 is about 360.3396100798.

The spelling of 46788165 in words is "forty-six million, seven hundred eighty-eight thousand, one hundred sixty-five".