4162500 has 108 divisors (see below), whose sum is σ = 13506948. Its totient is φ = 1080000.

The previous prime is 4162493. The next prime is 4162507. The reversal of 4162500 is 52614.

It is a happy number.

4162500 is a `hidden beast` number, since 4 + 162 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (4162493) and next prime (4162507).

It can be written as a sum of positive squares in 6 ways, for example, as 2604996 + 1557504 = 1614^2 + 1248^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4162507) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112482 + ... + 112518.

Almost surely, 2^4162500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4162500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753474).

4162500 is an abundant number, since it is smaller than the sum of its proper divisors (9344448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4162500 is a wasteful number, since it uses less digits than its factorization.

4162500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4162500 is about 2040.2205763103. The cubic root of 4162500 is about 160.8612412458.

It can be divided in two parts, 416 and 2500, that added together give a square (2916 = 54²).

The spelling of 4162500 in words is "four million, one hundred sixty-two thousand, five hundred".