62401 has 2 divisors, whose sum is σ = 62402. Its totient is φ = 62400.

The previous prime is 62383. The next prime is 62417. The reversal of 62401 is 10426.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62001 + 400 = 249^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 62401 - 2⁷ = 62273 is a prime.

It is not a weakly prime, because it can be changed into another prime (62201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31200 + 31201.

It is an arithmetic number, because the mean of its divisors is an integer number (31201).

2⁶²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

62401 is a deficient number, since it is larger than the sum of its proper divisors (1).

62401 is an equidigital number, since it uses as much as digits as its factorization.

62401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 62401 is about 249.8019215298. The cubic root of 62401 is about 39.6640615320.

Adding to 62401 its reverse (10426), we get a palindrome (72827).

It can be divided in two parts, 6240 and 1, that added together give a square (6241 = 79²).

The spelling of 62401 in words is "sixty-two thousand, four hundred one".