407165 has 12 divisors (see below), whose sum is σ = 537852. Its totient is φ = 295680.

The previous prime is 407153. The next prime is 407177. The reversal of 407165 is 561704.

It is an interprime number because it is at equal distance from previous prime (407153) and next prime (407177).

It can be written as a sum of positive squares in 2 ways, for example, as 139876 + 267289 = 374^2 + 517^2 .

It is not a de Polignac number, because 407165 - 2⁴ = 407149 is a prime.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 407165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269 + ... + 941.

It is an arithmetic number, because the mean of its divisors is an integer number (44821).

2⁴⁰⁷¹⁶⁵ is an apocalyptic number.

It is an amenable number.

407165 is a deficient number, since it is larger than the sum of its proper divisors (130687).

407165 is a wasteful number, since it uses less digits than its factorization.

407165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 407165 is about 638.0948205400. The cubic root of 407165 is about 74.1179637891.

Adding to 407165 its reverse (561704), we get a palindrome (968869).

The spelling of 407165 in words is "four hundred seven thousand, one hundred sixty-five".