78301 has 2 divisors, whose sum is σ = 78302. Its totient is φ = 78300.

The previous prime is 78283. The next prime is 78307. The reversal of 78301 is 10387.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 27225 = 226^2 + 165^2 .

It is a cyclic number.

It is not a de Polignac number, because 78301 - 2⁷ = 78173 is a prime.

It is a super-2 number, since 2×78301² = 12262093202, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (78307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39150 + 39151.

It is an arithmetic number, because the mean of its divisors is an integer number (39151).

2⁷⁸³⁰¹ is an apocalyptic number.

It is an amenable number.

78301 is a deficient number, since it is larger than the sum of its proper divisors (1).

78301 is an equidigital number, since it uses as much as digits as its factorization.

78301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 78301 is about 279.8231584412. The cubic root of 78301 is about 42.7814765391.

Adding to 78301 its reverse (10387), we get a palindrome (88688).

The spelling of 78301 in words is "seventy-eight thousand, three hundred one".