401035829 has 2 divisors, whose sum is σ = 401035830. Its totient is φ = 401035828.

The previous prime is 401035781. The next prime is 401035861. The reversal of 401035829 is 928530104.

It is an a-pointer prime, because the next prime (401035861) can be obtained adding 401035829 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 397803025 + 3232804 = 19945^2 + 1798^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-401035829 is a prime.

It is a super-2 number, since 2×401035829² = 321659472283434482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401035795 and 401035804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401035879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200517914 + 200517915.

It is an arithmetic number, because the mean of its divisors is an integer number (200517915).

Almost surely, 2^401035829 is an apocalyptic number.

It is an amenable number.

401035829 is a deficient number, since it is larger than the sum of its proper divisors (1).

401035829 is an equidigital number, since it uses as much as digits as its factorization.

401035829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 401035829 is about 20025.8789819573. The cubic root of 401035829 is about 737.4417559672.

The spelling of 401035829 in words is "four hundred one million, thirty-five thousand, eight hundred twenty-nine".