10357821 has 8 divisors (see below), whose sum is σ = 15344960. Its totient is φ = 6905196.

The previous prime is 10357801. The next prime is 10357829. The reversal of 10357821 is 12875301.

10357821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10357821 - 2¹⁴ = 10341437 is a prime.

It is a super-3 number, since 3×10357821³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 383623 = 10357821 / (1 + 0 + 3 + 5 + 7 + 8 + 2 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10357829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191785 + ... + 191838.

It is an arithmetic number, because the mean of its divisors is an integer number (1918120).

Almost surely, 2^10357821 is an apocalyptic number.

It is an amenable number.

10357821 is a deficient number, since it is larger than the sum of its proper divisors (4987139).

10357821 is an equidigital number, since it uses as much as digits as its factorization.

10357821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383632 (or 383626 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10357821 is about 3218.3568789058. The cubic root of 10357821 is about 217.9830879342.

The spelling of 10357821 in words is "ten million, three hundred fifty-seven thousand, eight hundred twenty-one".