152953 has 2 divisors, whose sum is σ = 152954. Its totient is φ = 152952.

The previous prime is 152947. The next prime is 152959. The reversal of 152953 is 359251.

It is a balanced prime because it is at equal distance from previous prime (152947) and next prime (152959).

It can be written as a sum of positive squares in only one way, i.e., 107584 + 45369 = 328^2 + 213^2 .

It is a cyclic number.

It is not a de Polignac number, because 152953 - 2⁹ = 152441 is a prime.

152953 is a lucky number.

It is a plaindrome in base 16.

It is not a weakly prime, because it can be changed into another prime (152959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76476 + 76477.

It is an arithmetic number, because the mean of its divisors is an integer number (76477).

2¹⁵²⁹⁵³ is an apocalyptic number.

It is an amenable number.

152953 is a deficient number, since it is larger than the sum of its proper divisors (1).

152953 is an equidigital number, since it uses as much as digits as its factorization.

152953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1350, while the sum is 25.

The square root of 152953 is about 391.0920607734. The cubic root of 152953 is about 53.4793351932.

The spelling of 152953 in words is "one hundred fifty-two thousand, nine hundred fifty-three".