4013000 has 32 divisors (see below), whose sum is σ = 9392760. Its totient is φ = 1604800.

The previous prime is 4012999. The next prime is 4013021. The reversal of 4013000 is 3104.

4013000 = T₃₉ + T₄₀ + ... + T₂₈₈.

It can be written as a sum of positive squares in 4 ways, for example, as 1898884 + 2114116 = 1378^2 + 1454^2 .

It is a super-2 number, since 2×4013000² = 32208338000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1007 + ... + 3006.

Almost surely, 2^4013000 is an apocalyptic number.

4013000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013000 is an abundant number, since it is smaller than the sum of its proper divisors (5379760).

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

4013000 is a wasteful number, since it uses less digits than its factorization.

4013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 4013000 is about 2003.2473636573. The cubic root of 4013000 is about 158.9118876806.

Adding to 4013000 its reverse (3104), we get a palindrome (4016104).

The spelling of 4013000 in words is "four million, thirteen thousand".