413753 has 2 divisors, whose sum is σ = 413754. Its totient is φ = 413752.

The previous prime is 413737. The next prime is 413759. The reversal of 413753 is 357314.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 190969 = 472^2 + 437^2 .

It is a cyclic number.

It is not a de Polignac number, because 413753 - 2⁴ = 413737 is a prime.

It is not a weakly prime, because it can be changed into another prime (413759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206876 + 206877.

It is an arithmetic number, because the mean of its divisors is an integer number (206877).

2⁴¹³⁷⁵³ is an apocalyptic number.

It is an amenable number.

413753 is a deficient number, since it is larger than the sum of its proper divisors (1).

413753 is an equidigital number, since it uses as much as digits as its factorization.

413753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260, while the sum is 23.

The square root of 413753 is about 643.2363484754. The cubic root of 413753 is about 74.5155741204.

The spelling of 413753 in words is "four hundred thirteen thousand, seven hundred fifty-three".