372409 has 2 divisors, whose sum is σ = 372410. Its totient is φ = 372408.

The previous prime is 372401. The next prime is 372413. The reversal of 372409 is 904273.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189225 + 183184 = 435^2 + 428^2 .

It is a cyclic number.

It is not a de Polignac number, because 372409 - 2³ = 372401 is a prime.

372409 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (372401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 186204 + 186205.

It is an arithmetic number, because the mean of its divisors is an integer number (186205).

2³⁷²⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

372409 is a deficient number, since it is larger than the sum of its proper divisors (1).

372409 is an equidigital number, since it uses as much as digits as its factorization.

372409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 372409 is about 610.2532261283. The cubic root of 372409 is about 71.9460114821.

It can be divided in two parts, 37240 and 9, that added together give a square (37249 = 193²).

The spelling of 372409 in words is "three hundred seventy-two thousand, four hundred nine".