152993 has 2 divisors, whose sum is σ = 152994. Its totient is φ = 152992.

The previous prime is 152989. The next prime is 153001. The reversal of 152993 is 399251.

152993 is nontrivially palindromic in base 7.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117649 + 35344 = 343^2 + 188^2 .

It is a cyclic number.

It is not a de Polignac number, because 152993 - 2² = 152989 is a prime.

It is not a weakly prime, because it can be changed into another prime (152953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76496 + 76497.

It is an arithmetic number, because the mean of its divisors is an integer number (76497).

2¹⁵²⁹⁹³ is an apocalyptic number.

It is an amenable number.

152993 is a deficient number, since it is larger than the sum of its proper divisors (1).

152993 is an equidigital number, since it uses as much as digits as its factorization.

152993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2430, while the sum is 29.

The square root of 152993 is about 391.1431962849. The cubic root of 152993 is about 53.4839967274.

The spelling of 152993 in words is "one hundred fifty-two thousand, nine hundred ninety-three".