3735829 has 2 divisors, whose sum is σ = 3735830. Its totient is φ = 3735828.

The previous prime is 3735817. The next prime is 3735833. The reversal of 3735829 is 9285373.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3713329 + 22500 = 1927^2 + 150^2 .

It is a cyclic number.

It is not a de Polignac number, because 3735829 - 2¹⁵ = 3703061 is a prime.

It is a d-powerful number, because it can be written as 3¹³ + 7² + 3¹³ + 5⁶ + 8² + 2² + 9⁶ .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3735859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1867914 + 1867915.

It is an arithmetic number, because the mean of its divisors is an integer number (1867915).

Almost surely, 2^3735829 is an apocalyptic number.

It is an amenable number.

3735829 is a deficient number, since it is larger than the sum of its proper divisors (1).

3735829 is an equidigital number, since it uses as much as digits as its factorization.

3735829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 45360, while the sum is 37.

The square root of 3735829 is about 1932.8292733710. The cubic root of 3735829 is about 155.1656778577.

The spelling of 3735829 in words is "three million, seven hundred thirty-five thousand, eight hundred twenty-nine".