4013970 has 32 divisors (see below), whose sum is σ = 9782208. Its totient is φ = 1053888.

The previous prime is 4013953. The next prime is 4013981. The reversal of 4013970 is 793104.

4013970 = 211² + 212² + ... + 277².

It is a super-2 number, since 2×4013970² = 32223910321800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4013970.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012 + ... + 3008.

It is an arithmetic number, because the mean of its divisors is an integer number (305694).

Almost surely, 2^4013970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4891104).

4013970 is an abundant number, since it is smaller than the sum of its proper divisors (5768238).

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

4013970 is a wasteful number, since it uses less digits than its factorization.

4013970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 4013970 is about 2003.4894559243. The cubic root of 4013970 is about 158.9246904145.

It can be divided in two parts, 401 and 3970, that added together give a triangular number (4371 = T₉₃).

The spelling of 4013970 in words is "four million, thirteen thousand, nine hundred seventy".