78437 has 2 divisors, whose sum is σ = 78438. Its totient is φ = 78436.

The previous prime is 78427. The next prime is 78439. The reversal of 78437 is 73487.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57121 + 21316 = 239^2 + 146^2 .

It is a cyclic number.

It is not a de Polignac number, because 78437 - 2¹⁴ = 62053 is a prime.

Together with 78439, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₇₆₉₇ and since 78437 and 7697 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78437.

It is not a weakly prime, because it can be changed into another prime (78439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39218 + 39219.

It is an arithmetic number, because the mean of its divisors is an integer number (39219).

2⁷⁸⁴³⁷ is an apocalyptic number.

It is an amenable number.

78437 is a deficient number, since it is larger than the sum of its proper divisors (1).

78437 is an equidigital number, since it uses as much as digits as its factorization.

78437 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 78437 is about 280.0660636350. The cubic root of 78437 is about 42.8062310781.

Subtracting from 78437 its reverse (73487), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 78 and 437, that added together give a palindrome (515).

The spelling of 78437 in words is "seventy-eight thousand, four hundred thirty-seven".