4958101 has 16 divisors (see below), whose sum is σ = 5540400. Its totient is φ = 4415488.

The previous prime is 4958021. The next prime is 4958131. The reversal of 4958101 is 1018594.

4958101 = 1574² + 1575².

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 527076 + 4431025 = 726^2 + 2105^2 .

It is a cyclic number.

It is not a de Polignac number, because 4958101 - 2¹⁷ = 4827029 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4958101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4958131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43821 + ... + 43933.

It is an arithmetic number, because the mean of its divisors is an integer number (346275).

Almost surely, 2^4958101 is an apocalyptic number.

4958101 is the 1575-th centered square number.

It is an amenable number.

4958101 is a deficient number, since it is larger than the sum of its proper divisors (582299).

4958101 is a wasteful number, since it uses less digits than its factorization.

4958101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 4958101 is about 2226.6793662312. The cubic root of 4958101 is about 170.5186123591.

The spelling of 4958101 in words is "four million, nine hundred fifty-eight thousand, one hundred one".