788257 has 4 divisors (see below), whose sum is σ = 792576. Its totient is φ = 783940.

The previous prime is 788231. The next prime is 788261. The reversal of 788257 is 752887.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 752887 = 43 ⋅17509.

It is a cyclic number.

It is not a de Polignac number, because 788257 - 2⁷ = 788129 is a prime.

It is a d-powerful number, because it can be written as 7⁵ + 8 + 2¹⁰ + 8⁶ + 5⁸ + 7⁶ .

It is a Duffinian number.

788257 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (788267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1873 + ... + 2254.

It is an arithmetic number, because the mean of its divisors is an integer number (198144).

2⁷⁸⁸²⁵⁷ is an apocalyptic number.

It is an amenable number.

788257 is a deficient number, since it is larger than the sum of its proper divisors (4319).

788257 is a wasteful number, since it uses less digits than its factorization.

788257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318.

The product of its digits is 31360, while the sum is 37.

The square root of 788257 is about 887.8383861942. The cubic root of 788257 is about 92.3753177704.

It can be divided in two parts, 78825 and 7, that multiplied together give a triangular number (551775 = T₁₀₅₀).

The spelling of 788257 in words is "seven hundred eighty-eight thousand, two hundred fifty-seven".