84377 has 2 divisors, whose sum is σ = 84378. Its totient is φ = 84376.

The previous prime is 84349. The next prime is 84389. The reversal of 84377 is 77348.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80656 + 3721 = 284^2 + 61^2 .

It is a cyclic number.

It is not a de Polignac number, because 84377 - 2⁶ = 84313 is a prime.

It is a Chen prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (84307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42188 + 42189.

It is an arithmetic number, because the mean of its divisors is an integer number (42189).

2⁸⁴³⁷⁷ is an apocalyptic number.

It is an amenable number.

84377 is a deficient number, since it is larger than the sum of its proper divisors (1).

84377 is an equidigital number, since it uses as much as digits as its factorization.

84377 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4704, while the sum is 29.

The square root of 84377 is about 290.4771935970. The cubic root of 84377 is about 43.8606126207.

Subtracting from 84377 its sum of digits (29), we obtain a palindrome (84348).

The spelling of 84377 in words is "eighty-four thousand, three hundred seventy-seven".