102827993 has 2 divisors, whose sum is σ = 102827994. Its totient is φ = 102827992.

The previous prime is 102827971. The next prime is 102828001. The reversal of 102827993 is 399728201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102657424 + 170569 = 10132^2 + 413^2 .

It is a cyclic number.

It is not a de Polignac number, because 102827993 - 2¹⁴ = 102811609 is a prime.

It is a super-2 number, since 2×102827993² = 21147192288816098, which contains 22 as substring.

It is equal to p_5914976 and since 102827993 and 5914976 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102827993.

It is not a weakly prime, because it can be changed into another prime (102847993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51413996 + 51413997.

It is an arithmetic number, because the mean of its divisors is an integer number (51413997).

Almost surely, 2^102827993 is an apocalyptic number.

It is an amenable number.

102827993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102827993 is an equidigital number, since it uses as much as digits as its factorization.

102827993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 102827993 is about 10140.4138475705. The cubic root of 102827993 is about 468.4937337496.

The spelling of 102827993 in words is "one hundred two million, eight hundred twenty-seven thousand, nine hundred ninety-three".