374013 has 12 divisors (see below), whose sum is σ = 559260. Its totient is φ = 240576.

The previous prime is 374009. The next prime is 374029. The reversal of 374013 is 310473.

It can be written as a sum of positive squares in 2 ways, for example, as 257049 + 116964 = 507^2 + 342^2 .

It is not a de Polignac number, because 374013 - 2² = 374009 is a prime.

374013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374063) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 456 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (46605).

2³⁷⁴⁰¹³ is an apocalyptic number.

It is an amenable number.

374013 is a deficient number, since it is larger than the sum of its proper divisors (185247).

374013 is a wasteful number, since it uses less digits than its factorization.

374013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 374013 is about 611.5660226010. The cubic root of 374013 is about 72.0491562469.

Adding to 374013 its reverse (310473), we get a palindrome (684486).

The spelling of 374013 in words is "three hundred seventy-four thousand, thirteen".