153409 has 2 divisors, whose sum is σ = 153410. Its totient is φ = 153408.

The previous prime is 153407. The next prime is 153421. The reversal of 153409 is 904351.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 148225 + 5184 = 385^2 + 72^2 .

It is a cyclic number.

It is not a de Polignac number, because 153409 - 2¹ = 153407 is a prime.

Together with 153407, it forms a pair of twin primes.

It is a Chen prime.

153409 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 153409.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76704 + 76705.

It is an arithmetic number, because the mean of its divisors is an integer number (76705).

2¹⁵³⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

153409 is a deficient number, since it is larger than the sum of its proper divisors (1).

153409 is an equidigital number, since it uses as much as digits as its factorization.

153409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 153409 is about 391.6746098485. The cubic root of 153409 is about 53.5324285885.

The spelling of 153409 in words is "one hundred fifty-three thousand, four hundred nine".