357213 has 16 divisors (see below), whose sum is σ = 516096. Its totient is φ = 219120.

The previous prime is 357211. The next prime is 357229. The reversal of 357213 is 312753.

It is a happy number.

It is not a de Polignac number, because 357213 - 2¹ = 357211 is a prime.

It is a super-2 number, since 2×357213² = 255202254738, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3¹¹ + 5 + 2⁹ + 7⁴ + 1 + 3¹¹ .

It is a self number, because there is not a number n which added to its sum of digits gives 357213.

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 357213.

It is not an unprimeable number, because it can be changed into a prime (357211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2056 + ... + 2222.

It is an arithmetic number, because the mean of its divisors is an integer number (32256).

2³⁵⁷²¹³ is an apocalyptic number.

It is an amenable number.

357213 is a deficient number, since it is larger than the sum of its proper divisors (158883).

357213 is a wasteful number, since it uses less digits than its factorization.

357213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224.

The product of its digits is 630, while the sum is 21.

The square root of 357213 is about 597.6729875107. The cubic root of 357213 is about 70.9538151002.

Adding to 357213 its reverse (312753), we get a palindrome (669966).

The spelling of 357213 in words is "three hundred fifty-seven thousand, two hundred thirteen".