823952153 has 2 divisors, whose sum is σ = 823952154. Its totient is φ = 823952152.

The previous prime is 823952099. The next prime is 823952179. The reversal of 823952153 is 351259328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 702886144 + 121066009 = 26512^2 + 11003^2 .

It is a cyclic number.

It is not a de Polignac number, because 823952153 - 2⁸ = 823951897 is a prime.

It is not a weakly prime, because it can be changed into another prime (823952183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411976076 + 411976077.

It is an arithmetic number, because the mean of its divisors is an integer number (411976077).

Almost surely, 2^823952153 is an apocalyptic number.

It is an amenable number.

823952153 is a deficient number, since it is larger than the sum of its proper divisors (1).

823952153 is an equidigital number, since it uses as much as digits as its factorization.

823952153 is an evil number, because the sum of its binary digits is even.

The product of its digits is 64800, while the sum is 38.

The square root of 823952153 is about 28704.5667621025. The cubic root of 823952153 is about 937.4914831345.

It can be divided in two parts, 82395 and 2153, that added together give a palindrome (84548).

The spelling of 823952153 in words is "eight hundred twenty-three million, nine hundred fifty-two thousand, one hundred fifty-three".