49613 has 2 divisors, whose sum is σ = 49614. Its totient is φ = 49612.

The previous prime is 49603. The next prime is 49627. The reversal of 49613 is 31694.

49613 = 157² + 158².

49613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 24649 = 158^2 + 157^2 .

49613 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 49613 - 2⁴ = 49597 is a prime.

It is a super-2 number, since 2×49613² = 4922899538, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (49603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24806 + 24807.

It is an arithmetic number, because the mean of its divisors is an integer number (24807).

2⁴⁹⁶¹³ is an apocalyptic number.

49613 is the 158-th centered square number.

It is an amenable number.

49613 is a deficient number, since it is larger than the sum of its proper divisors (1).

49613 is an equidigital number, since it uses as much as digits as its factorization.

49613 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 23.

The square root of 49613 is about 222.7397584627. The cubic root of 49613 is about 36.7450206899.

The spelling of 49613 in words is "forty-nine thousand, six hundred thirteen".