35413 has 4 divisors (see below), whose sum is σ = 40480. Its totient is φ = 30348.

The previous prime is 35407. The next prime is 35419. The reversal of 35413 is 31453.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31453 = 71 ⋅443.

It is an interprime number because it is at equal distance from previous prime (35407) and next prime (35419).

It is a cyclic number.

It is not a de Polignac number, because 35413 - 2⁵ = 35381 is a prime.

It is a Duffinian number.

35413 is a lucky number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2523 + ... + 2536.

It is an arithmetic number, because the mean of its divisors is an integer number (10120).

2³⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

35413 is a deficient number, since it is larger than the sum of its proper divisors (5067).

35413 is an equidigital number, since it uses as much as digits as its factorization.

35413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066.

The product of its digits is 180, while the sum is 16.

The square root of 35413 is about 188.1834211614. The cubic root of 35413 is about 32.8388222648.

Adding to 35413 its reverse (31453), we get a palindrome (66866).

The spelling of 35413 in words is "thirty-five thousand, four hundred thirteen".