78357 has 4 divisors (see below), whose sum is σ = 104480. Its totient is φ = 52236.

The previous prime is 78347. The next prime is 78367. The reversal of 78357 is 75387.

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.

It is an interprime number because it is at equal distance from previous prime (78347) and next prime (78367).

It is not a de Polignac number, because 78357 - 2⁴ = 78341 is a prime.

It is a super-2 number, since 2×78357² = 12279638898, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

78357 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78307) 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, 13057 + ... + 13062.

It is an arithmetic number, because the mean of its divisors is an integer number (26120).

2⁷⁸³⁵⁷ is an apocalyptic number.

It is an amenable number.

78357 is a deficient number, since it is larger than the sum of its proper divisors (26123).

78357 is a wasteful number, since it uses less digits than its factorization.

78357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26122.

The product of its digits is 5880, while the sum is 30.

The square root of 78357 is about 279.9232037542. The cubic root of 78357 is about 42.7916730532.

Adding to 78357 its sum of digits (30), we get a palindrome (78387).

It can be divided in two parts, 7835 and 7, that multiplied together give a palindrome (54845).

The spelling of 78357 in words is "seventy-eight thousand, three hundred fifty-seven".