880993 has 2 divisors, whose sum is σ = 880994. Its totient is φ = 880992.

The previous prime is 880981. The next prime is 881003. The reversal of 880993 is 399088.

880993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 559504 + 321489 = 748^2 + 567^2 .

It is a cyclic number.

It is not a de Polignac number, because 880993 - 2⁵ = 880961 is a prime.

It is a super-2 number, since 2×880993² = 1552297332098, which contains 22 as substring.

880993 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (880903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 440496 + 440497.

It is an arithmetic number, because the mean of its divisors is an integer number (440497).

2⁸⁸⁰⁹⁹³ is an apocalyptic number.

It is an amenable number.

880993 is a deficient number, since it is larger than the sum of its proper divisors (1).

880993 is an equidigital number, since it uses as much as digits as its factorization.

880993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 880993 is about 938.6122735187. The cubic root of 880993 is about 95.8644281369.

The spelling of 880993 in words is "eight hundred eighty thousand, nine hundred ninety-three".