153953 has 2 divisors, whose sum is σ = 153954. Its totient is φ = 153952.

The previous prime is 153949. The next prime is 153991. The reversal of 153953 is 359351.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 289 = 392^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 153953 - 2² = 153949 is a prime.

It is not a weakly prime, because it can be changed into another prime (153913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76976 + 76977.

It is an arithmetic number, because the mean of its divisors is an integer number (76977).

2¹⁵³⁹⁵³ is an apocalyptic number.

It is an amenable number.

153953 is a deficient number, since it is larger than the sum of its proper divisors (1).

153953 is an equidigital number, since it uses as much as digits as its factorization.

153953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2025, while the sum is 26.

The square root of 153953 is about 392.3684492922. The cubic root of 153953 is about 53.5956306307.

It can be divided in two parts, 15 and 3953, that multiplied together give a palindrome (59295).

The spelling of 153953 in words is "one hundred fifty-three thousand, nine hundred fifty-three".