4157013 has 12 divisors (see below), whose sum is σ = 6447840. Its totient is φ = 2375352.

The previous prime is 4157011. The next prime is 4157053. The reversal of 4157013 is 3107514.

It is not a de Polignac number, because 4157013 - 2¹ = 4157011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

4157013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13993 + ... + 14286.

It is an arithmetic number, because the mean of its divisors is an integer number (537320).

Almost surely, 2^4157013 is an apocalyptic number.

It is an amenable number.

4157013 is a deficient number, since it is larger than the sum of its proper divisors (2290827).

4157013 is a wasteful number, since it uses less digits than its factorization.

4157013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28296 (or 28289 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 4157013 is about 2038.8754253264. The cubic root of 4157013 is about 160.7905278324.

The spelling of 4157013 in words is "four million, one hundred fifty-seven thousand, thirteen".